In polynomial long division, what is the first step when dividing 4x^3 + 2x^2 -

Practice Questions

Q1
In polynomial long division, what is the first step when dividing 4x^3 + 2x^2 - x by 2x + 1?
  1. Multiply the divisor by the leading term of the dividend.
  2. Subtract the product from the dividend.
  3. Identify the degree of both polynomials.
  4. Write the remainder.

Questions & Step-by-Step Solutions

In polynomial long division, what is the first step when dividing 4x^3 + 2x^2 - x by 2x + 1?
  • Step 1: Identify the leading term of the dividend, which is 4x^3.
  • Step 2: Identify the leading term of the divisor, which is 2x.
  • Step 3: Divide the leading term of the dividend (4x^3) by the leading term of the divisor (2x) to find the first term of the quotient.
  • Step 4: Multiply the entire divisor (2x + 1) by the result from Step 3 to prepare for subtraction.
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